Q

# The number of all possible matrices of order 3 × 3 with each entry 0 or 1 is: (A) 27 (B) 18 (C) 81 (D) 512

Q10.    The number of all possible matrices of order 3 × 3 with each entry 0 or 1 is:

(A)    27
(B)    18
(C)    81
(D)    512

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Total number of elements in a  3 × 3 matrix

$=3\times 3=9$

If each entry is  0 or 1 then for every entry there are 2 permutations.

The total permutations for 9 elements

$=2^{9}=512$

Thus, option (D) is correct.

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